Pacific Journal of Mathematics Vol. 228, No. 1, 2006

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Approximating the modulus of an inner function

Geir Arne Hjelle and Artur Nicolau

Vol. 228 (2006), No. 1, 103–118

Abstract

We show that the modulus of an inner function can be uniformly approximated in the unit disk by the modulus of an interpolating Blaschke product.

Keywords

interpolating Blaschke product, Carleson contour, discretization, inner function, modulus

Mathematical Subject Classification

Primary: 30D50, 30E10

Milestones

Received: 4 October 2005
Accepted: 2 November 2005

Authors

Geir Arne Hjelle
Department of Mathematical Sciences Norwegian University of Science and Technology 7491 Trondheim Norway	Department of Mathematics Washington University St. Louis, MO 63130 United States
http://www.math.wustl.edu/~hjelle/
Artur Nicolau
Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Bellaterra, Barcelona Spain
http://mat.uab.es/~artur/